Extensions 1→N→G→Q→1 with N=GL₂(𝔽₃) and Q=D₅

Direct product G=N×Q with N=GL₂(𝔽₃) and Q=D₅

		d	ρ	Label	ID
D₅×GL₂(𝔽₃)		40	4	D5xGL(2,3)	480,974

Semidirect products G=N:Q with N=GL₂(𝔽₃) and Q=D₅

extension	φ:Q→Out N	d	ρ	Label	ID
GL₂(𝔽₃)⋊₁D₅ = GL₂(𝔽₃)⋊D₅	φ: D₅/C₅ → C₂ ⊆ Out GL₂(𝔽₃)	80	4+	GL(2,3):1D5	480,970
GL₂(𝔽₃)⋊₂D₅ = D₁₀.₁S₄	φ: D₅/C₅ → C₂ ⊆ Out GL₂(𝔽₃)	80	4-	GL(2,3):2D5	480,972
GL₂(𝔽₃)⋊₃D₅ = Dic₅.₆S₄	φ: trivial image	80	4	GL(2,3):3D5	480,968

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